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23310113000 = 2353296113177
BaseRepresentation
bin10101101101011001…
…000001100011101000
32020011112002102122112
4111231121001203220
5340214342104000
614413012341452
71453434456056
oct255531014350
966145072575
1023310113000
119981a509a9
124626614888
1322763bb095
1411b1b751d6
1591666a235
hex56d6418e8

23310113000 has 128 divisors (see below), whose sum is σ = 57355927200. Its totient is φ = 8854272000.

The previous prime is 23310112963. The next prime is 23310113011. The reversal of 23310113000 is 31101332.

It can be written as a sum of positive squares in 16 ways, for example, as 4033012036 + 19277100964 = 63506^2 + 138842^2 .

It is a super-2 number, since 2×233101130002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762412 + ... + 1775588.

Almost surely, 223310113000 is an apocalyptic number.

23310113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23310113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28677963600).

23310113000 is an abundant number, since it is smaller than the sum of its proper divisors (34045814200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23310113000 is a wasteful number, since it uses less digits than its factorization.

23310113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 23310113000 its reverse (31101332), we get a palindrome (23341214332).

The spelling of 23310113000 in words is "twenty-three billion, three hundred ten million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 61 100 116 122 125 145 200 232 244 250 290 305 488 500 580 610 725 1000 1160 1220 1450 1525 1769 2440 2900 3050 3538 3625 5800 6100 7076 7250 7625 8845 12200 13177 14152 14500 15250 17690 26354 29000 30500 35380 44225 52708 61000 65885 70760 88450 105416 131770 176900 221125 263540 329425 353800 382133 442250 527080 658850 764266 803797 884500 1317700 1528532 1607594 1647125 1769000 1910665 2635400 3057064 3215188 3294250 3821330 4018985 6430376 6588500 7642660 8037970 9553325 13177000 15285320 16075940 19106650 20094925 23310113 32151880 38213300 40189850 46620226 47766625 76426600 80379700 93240452 95533250 100474625 116550565 160759400 186480904 191066500 200949250 233101130 382133000 401898500 466202260 582752825 803797000 932404520 1165505650 2331011300 2913764125 4662022600 5827528250 11655056500 23310113000